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Comments on the unification of electromagnetism and gravitation through “Generalized Einstein manifolds”
Authors:M. Panahi and M. Mehrafarin
Affiliation:

a Centre for Theoretical Physics and Mathethatics, Atomic Energy Organisation of Iran, Tehran, Iran

b Department of Physics, Amir Kabir University of Technology, Tehran 15914, Iran

Abstract:Akbar-Zadeh [J. Geom. Phys. 17 (1995) 342] has recently proposed a new geometric formulation of Einstein-Maxwell system with source in terms of what are called “Generalized Einstein manifolds”. We show that, contrary to the claim, Maxwell equations have not been derived in this formulation, and that the assumed equations can be identified only as source-free Maxwell equations in the proposed geometric setup. A genuine derivation of source-free Maxwell equations is presented within the same framework. We draw a conclusion that the proposed unification scheme can pertain only to source-free situations.
Keywords:Generalized Einstein manifolds   Finsler geometry   Einstein-Maxwell system
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